1827483264 has 96 divisors (see below), whose sum is σ = 5300605440. Its totient is φ = 604316160.

The previous prime is 1827483211. The next prime is 1827483277. The reversal of 1827483264 is 4623847281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140059 + ... + 152549.

It is an arithmetic number, because the mean of its divisors is an integer number (55214640).

Almost surely, 2^1827483264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650302720).

1827483264 is an abundant number, since it is smaller than the sum of its proper divisors (3473122176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1827483264 is a wasteful number, since it uses less digits than its factorization.

1827483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12623 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1827483264 is about 42749.0732531128. The cubic root of 1827483264 is about 1222.6002196183.

The spelling of 1827483264 in words is "one billion, eight hundred twenty-seven million, four hundred eighty-three thousand, two hundred sixty-four".